GCD/LCM Calculator
? Frequently Asked Questions
What are GCD and LCM?
GCD (Greatest Common Divisor) is the largest number that divides all inputs evenly. LCM (Least Common Multiple) is the smallest number that all inputs divide evenly. For 12 and 18: GCD=6, LCM=36.
How does it calculate GCD?
The calculator uses the Euclidean algorithm, which repeatedly divides and takes remainders until reaching zero. This ancient, efficient method works for any positive integers, no matter how large.
Can I calculate GCD/LCM for more than two numbers?
Yes! The calculator handles multiple numbers at once. For three or more numbers, it applies the algorithms iteratively: GCD(a,b,c) = GCD(GCD(a,b),c), and similarly for LCM.
Why are GCD and LCM useful?
GCD is used for simplifying fractions (divide numerator and denominator by their GCD). LCM is used for finding common denominators when adding fractions or scheduling repeating events.
What's the relationship between GCD and LCM?
For two numbers a and b: GCD(a,b) × LCM(a,b) = a × b. This relationship helps calculate one from the other and is fundamental in number theory.
Is my data safe and secure?
Yes, absolutely! This tool runs entirely in your browser. All data processing happens locally on your device - nothing is uploaded to our servers. Your files and data never leave your computer, ensuring complete privacy and security.